4 problems

Consider a Watts–Strogatz-type network with high clustering in the coevolutionary opinion-and-action dynamics. The innovation and status quo are the two actions, and a cluster is a…

The coevolutionary dynamics involve opinions, actions, an opinion-weight parameter $\lambda$, and the innovation and status quo actions. When $\lambda$ is sufficiently large, opini…

Let $y_{th}>0$ and $0<u(0)<1$. Let $\boldsymbol y^*(u,\beta)$ denote the $Z_2$-symmetric equilibrium branch, and let $\bar{\boldsymbol y}(u,\beta)$ and…

Consider the four-dimensional singularly perturbed closed-loop dynamics for an all-to-all network with $Z_2$ symmetry, $n_1=n_2=n$ informed agents, $n_3=N-2n$ uninformed agents, we…